A mix of Depict1 with Tower of Heaven.
I wanted initially to write that the character glues to the wall, like if you wanted to implement walljump, but failed. It turns out that I was close, as in final levels there is walljumping indeed.
There is one trick / glitch that can be exploited in the final levels - when you touch the wall without jumping ON it, and THEN try to walljump, you practically jump high enough to land on top. I'm not sure if I explained it coherently, though.
All in all, not a bad game, and sort of enjoyable too.